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Finding the Fourth Proportional to 2,300.30, 3,433.07 and 2,144.24

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Solution

The fourth proportional to 2,300.30, 3,433.07 and 2,144.24 is: 3,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.30 : 3,433.07 = 2,144.24 : x
  2. Step 2: Convert to fraction form
    2,300.30/3,433.07 = 2,144.24/x
  3. Step 3: Cross multiply
    2,300.30x = 3,433.07 × 2,144.24
  4. Step 4: Simplify right side
    2,300.30x = 7,361,298.13
  5. Step 5: Solve for x
    x = 7,361,298.13/2,300.30
  6. Step 6: Final answer
    x = 3,200.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.